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Finding the Third Proportional to 64,924 and 100,252

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Solution

The third proportional to 64,924 and 100,252 is: 154,803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,924 : 100,252 = 100,252 : x
  2. Step 2: Convert to fraction form
    64,924/100,252 = 100,252/x
  3. Step 3: Cross multiply
    64,924x = 100,252 × 100,252
  4. Step 4: Simplify right side
    64,924x = 10,050,463,504
  5. Step 5: Solve for x
    x = 10,050,463,504/64,924
  6. Step 6: Final answer
    x = 154,803.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.